We report a simple, environmentally-stable, passively mode-locked Yb-based fiber oscillator operating at 1035 nm with pulse duration of ~5 ps. Mode-locking was achieved using a saturable absorber mirror. The output of the laser exhibited a polarization extinction ratio >20 dB with the implementation a polarization maintaining fiber cavity and a polarization sensitive fiber coupler. The laser outputted near transform-limited pulses at 25-100 MHz at a pump threshold of 20-30
mW. We have tested operation of the laser using two different saturable absorber mirror structures: multiple quantum wells and quantum-dots at 1035 nm. Pulse properties and laser performance were comparable using quantum-dots and multiple quantum wells as the saturable absorber.